In this paper, the model deals with
competition in populations which diffuse in a circular bounded area. Migration of interacting marine animal
species in ocean is considered. Pseudo Analytic Finite Partition Method (PAFPM)
has been employed to find out the approximate solution of the dispersion
problem in the non-homogeneous region. A two dimensional circular region is
considered. For angular direction the Fourier series has been used assuming
angular uniformity in each part. After numerical verification graphs are
plotted betweenthe
angle and population density of species for constant
time.